simPG1 {ipsfs}

PFS similarity measure simPG1

Description

PFS similarity measure values using simPG1 computation technique with membership, and non-membership values of two objects or set of objects.

Usage

simPG1(ma, na, mb, nb, p, l, t, k)

Arguments

ma

PFS membership values for the data set x computed using either triangular or trapezoidal or guassian membership function

na

PFS non-membership values for the data set x computed using either Sugeno and Terano's or Yager's non-membership function

mb

PFS membership values for the data set y computed using either triangular or trapezoidal or guassian membership function

nb

PFS non-membership values for the data set y computed using either Sugeno and Terano's or Yager's non-membership function

p

Lp norm values for measuring the p-norm distance between x and y, values range from 1 to 5

l

Level of uncertainty values, values range from 1 to 10

t

Level of uncertainty values, values range from 1 to 10

k

A constant value, considered as 1

Value

The PFS similarity values of data set y with data set x

References

X. Peng and H. Garg. Multiparametric similarity measures on pythagorean fuzzy sets with applications to pattern recognition. Applied Intelligence, 49(12):4058 - 4096, 2019.

Examples

x<-matrix(c(12,9,14,11,21,16,15,24,20,17,14,11),nrow=4)
y<-matrix(c(11,21,6),nrow=1)
a<-mn(x)
b<-std(x)
a1<-mn(y)
b1<-std(y)
lam<-0.5
ma<-memG(a,b,x)
na<-nonmemS(ma,lam)
mb<-memG(a1,b1,y)
nb<-nonmemS(mb,lam)
p<-2
l<-2
t<-2
k<-1
simPG1(ma,na,mb,nb,p,l,t,k)
#[1] 0.6027082 0.5857886 0.8375740 0.8375740